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a formula for the integrand may be known, but it may be difficult or impossible to find an antiderivative that is an elementary function.
قد يعرف المرء الكمية المتكاملة ولكن يكون من الصعب أو المستحيل إيجاد الاشتقاق العكسي والذي يفترض أن يكون دالة أساسية.
== integrands involving only sine ==: formula_4: formula_5: formula_6: formula_7: formula_8: formula_9: formula_10: formula_11: formula_12: formula_13: formula_14: formula_15: formula_16: formula_17: formula_18: formula_19: formula_20== integrands involving only cosine ==: formula_21: formula_22: formula_23: formula_24: formula_25: formula_26: formula_27: formula_28: formula_29: formula_30: formula_31: formula_32: formula_33: formula_34: formula_35: formula_36: formula_37== integrands involving only tangent ==: formula_38:formula_39: formula_40: formula_41: formula_42: formula_43: formula_44: formula_45== integrands involving only secant ==: "see integral of the secant function.
: formula_3: formula_4: formula_5: formula_6: formula_7: formula_8: formula_9: formula_10: formula_11: formula_12: formula_13: formula_14: formula_15: formula_16: formula_17: formula_18: formula_19: formula_20: formula_21: formula_22: formula_23: formula_24: formula_25: formula_26: formula_27: formula_28: formula_29: formula_30: formula_31: formula_32: formula_33: formula_34: formula_35:formula_36: formula_37: formula_38: formula_39: formula_40: formula_41: formula_42:formula_43:formula_44:formula_45:formula_46:formula_47:formula_48:formula_49:formula_50:formula_51:formula_52